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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=-13/4, b1`>=-11/2 > For fixed z and a1=-13/4, b1`=7/2





http://functions.wolfram.com/07.22.03.a8pw.01









  


  










Input Form





HypergeometricPFQ[{-(13/4)}, {7/2, 19/4}, z] == (-4 z^(1/4) (204622092675 + 272829456900 Sqrt[z] - 10188491040 z + 1056767886720 z^(3/2) - 58732128000 z^2 + 1194719984640 z^(5/2) + 491318231040 z^3 - 2149611405312 z^(7/2) - 68371021824 z^4 + 279847895040 z^(9/2) + 2178940928 z^5 - 8766095360 z^(11/2) - 16777216 z^6 + 67108864 z^(13/2) + E^(4 Sqrt[z]) (-204622092675 + 272829456900 Sqrt[z] + 10188491040 z + 1056767886720 z^(3/2) + 58732128000 z^2 + 1194719984640 z^(5/2) - 491318231040 z^3 - 2149611405312 z^(7/2) + 68371021824 z^4 + 279847895040 z^(9/2) - 2178940928 z^5 - 8766095360 z^(11/2) + 16777216 z^6 + 67108864 z^(13/2))) - E^(2 Sqrt[z]) Sqrt[2 Pi] (-204622092675 + 2083424943600 z + 4762114156800 z^2 + 6047129088000 z^3 - 8795824128000 z^4 + 1125865488384 z^5 - 35114713088 z^6 + 268435456 z^7) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] (-204622092675 + 2083424943600 z + 4762114156800 z^2 + 6047129088000 z^3 - 8795824128000 z^4 + 1125865488384 z^5 - 35114713088 z^6 + 268435456 z^7) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z])/(39414914875392 z^(15/4))










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02